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Finding the Fourth Proportional to 2,027.73, 3,040.44 and 793.70

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Solution

The fourth proportional to 2,027.73, 3,040.44 and 793.70 is: 1,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.73 : 3,040.44 = 793.70 : x
  2. Step 2: Convert to fraction form
    2,027.73/3,040.44 = 793.70/x
  3. Step 3: Cross multiply
    2,027.73x = 3,040.44 × 793.70
  4. Step 4: Simplify right side
    2,027.73x = 2,413,190.45
  5. Step 5: Solve for x
    x = 2,413,190.45/2,027.73
  6. Step 6: Final answer
    x = 1,190.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.